SEMINARIO DE ECUACIONES EN DERIVADAS PARCIALES

Prof. María Medina de la Torre

(Pontificia Universidad Católica de Chile)

Título: A nondegenerate sign-changing solution for the Yamabe problem with maximal rank

Fecha: miércoles, 20 de diciembre
Hora: 12:30 a 13:30 h.
Lugar: Sala de Seminarios 520, módulo 17
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Abstract: In this talk we will prove the existence of a sequence of non-degenerate (in the sense of Duyckaerts-Kenig-Merle [DKM]) nodal non-radial solutions to the critical Yamabe problem in dimension n. The case n=4 represents the first example in the literature of a solution with maximal rank: N=2n+1+n(n-1)/2.

This is a joint work with M. Musso and J. Wei (arxiv.org/pdf/1712.00326.pdf)

 References: [DKM] T. Duyckaerts, C. Kenig, F. Merle, Solutions of the focusing nonradial critical wave equation with the compactness property. To appear in Ann. Sc. Norm. Super. Pisa Cl. Sci.